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4290372 = 2232373221
BaseRepresentation
bin10000010111011101000100
322001222021200
4100113131010
52044242442
6231542500
751316242
oct20273504
98058250
104290372
112470469
12152aa30
13b72aa8
147d9792
1559b34c
hex417744

4290372 has 36 divisors (see below), whose sum is σ = 11141676. Its totient is φ = 1391040.

The previous prime is 4290359. The next prime is 4290373. The reversal of 4290372 is 2730924.

4290372 is a `hidden beast` number, since 4 + 290 + 372 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 695556 = 1896^2 + 834^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 2942.

It is an arithmetic number, because the mean of its divisors is an integer number (309491).

Almost surely, 24290372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570838).

4290372 is an abundant number, since it is smaller than the sum of its proper divisors (6851304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4290372 is a wasteful number, since it uses less digits than its factorization.

4290372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4290372 is about 2071.3213174204. The cubic root of 4290372 is about 162.4918749389.

The spelling of 4290372 in words is "four million, two hundred ninety thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3221 6442 9663 12884 19326 28989 38652 57978 115956 119177 238354 357531 476708 715062 1072593 1430124 2145186 4290372